A general form of the heat conduction equation of thermoelasticity with voids and gravity field. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: I.M. Hilal, Mohamed; Othman, Mohamed I.A.
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 14:Issue 1(2018)
• Page Start: 65
• Page End: 76
• Publication Date: 2018-01-02
• Subjects: Voids -- Thermoelasticity -- Gravity -- Normal mode -- Phase lag; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-07-2017-0060
• Languages: English
• ISSNs: 1573-6105

Abstract

Abstract : Purpose: The purpose of this paper is to discuss the problem of thermoelasticity with voids under the gravity field in the context of a general form of heat conduction equation with some particular cases. The normal mode method used is to obtain the physical quantities. Design/methodology/approach: The analytical method used was the normal mode. Findings: Numerical results for the physical quantities are presented graphically and the results are analyzed thereafter. The comparisons are established between the theories for the physical quantities during the constant time and gravity and were shown graphically. Originality/value: In the present work, the authors shall establish the general form for the heat conduction equation which contains the seven theories as well as the special cases in thermoelasticity with voids. The problem is very important in many dynamical systems.